The most important thing to remember after an accident is that you have the right to pick wherever you want to send your car. You do not have to listen to an insurance company tell you where to take it, nor are your options limited in any way. If you are paying for the repairs, you have the ultimate choice.
Furthermore, if your car was towed after an accident, you have the right to have it towed to the shop of your choice, even if you are told the other shop has started repairs. Finding cheap auto body paint shops is not the easiest thing in the world, and if you find an auto body collision shop you like and trust, you likely would never want to send your car anywhere else.
As for problems with cars that do not involve collisions, you have the choice of what to do in that situation as well. Though it only takes a half ounce of gasoline to start a car, which is roughly a third of a shot glass worth of gasoline, people still run out of gas all the time. Before the 1920s there was not even a gas gauge in cars. People had to just guess. Regardless, you are not likely to have gas put in your empty gas tank at cheap auto body paint shops, but they will do a great job fixing up and repainting your damaged car.
Auto body repairing is important to cars because lets face it, we all get in accidents. Getting quality collision repair can save you a bundle, because you may think your car is totaled or forever scarred, but if you get really good automotive collision repair, your car can basically look as good as new.
Roughly 2 million adult drivers and passengers were treated in emergency departments every year as a result of being injured in motor vehicle accidents. The first hope in all those accidents is that the people involved are not harmed. It is also important to hope that the cars can be salvaged, and that not too much damage has been done.